Baking Cookies Word Problem

31.I like these word problems. I think you should post a few each day in different categories like addition, subtraction, multiplication, division, assorted, algebra, pre-algebra, and geometry!

Can you solve it???

What number is divisible by 2,3,4,5,&6? Well 4 =2*2 and 6=2*3-- look for a number that has factors of 2,2,3 &5 well 2*2*3*5=60

So the number of interest is of the form of n*60+1 & (n*60+1) is divisible by 7

n=1 61 is not divisible by 7 remander 5
n=2 121 is not divisible by 7 remander 2
n=3 181 is not divisible by 7 remander 6
n=4 241 is not divisible by 7 remander 3
n=5 301 is divisible by 7

301 cookies is the answer

Check
301/2=150*2+1
301/3=100*3+1
301/4=75*4+1
301/5=60*5+1
301/6=50*6+1
301/7=43*7

Rap